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Finding the Fourth Proportional to 9,336.72, 12,883.50 and 5,145.24

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Solution

The fourth proportional to 9,336.72, 12,883.50 and 5,145.24 is: 7,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.72 : 12,883.50 = 5,145.24 : x
  2. Step 2: Convert to fraction form
    9,336.72/12,883.50 = 5,145.24/x
  3. Step 3: Cross multiply
    9,336.72x = 12,883.50 × 5,145.24
  4. Step 4: Simplify right side
    9,336.72x = 66,288,699.54
  5. Step 5: Solve for x
    x = 66,288,699.54/9,336.72
  6. Step 6: Final answer
    x = 7,099.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.